
(/VERSIONCHECK 2) 

(DEFPARAMETER |PermutationCategory;CAT| 'NIL) 

(DEFPARAMETER |PermutationCategory;AL| 'NIL) 

(DEFUN |PermutationCategory| (#1=#:G1797)
  (LET (#2=#:G1798)
    (COND
     ((SETQ #2# (|assoc| #3=(|devaluate| #1#) |PermutationCategory;AL|))
      (CDR #2#))
     (T
      (SETQ |PermutationCategory;AL|
              (|cons5| (CONS #3# (SETQ #2# (|PermutationCategory;| #1#)))
                       |PermutationCategory;AL|))
      #2#)))) 

(DEFUN |PermutationCategory;| (|t#1|)
  (PROG (#1=#:G1796)
    (RETURN
     (PROG1
         (LETT #1#
               (|sublisV| (PAIR '(|t#1|) (LIST (|devaluate| |t#1|)))
                          (COND (|PermutationCategory;CAT|)
                                ('T
                                 (LETT |PermutationCategory;CAT|
                                       (|Join| (|Group|)
                                               (|mkCategory|
                                                '(((|cycle| ($ (|List| |t#1|)))
                                                   T)
                                                  ((|cycles|
                                                    ($
                                                     (|List| (|List| |t#1|))))
                                                   T)
                                                  ((|eval| (|t#1| $ |t#1|)) T)
                                                  ((|elt| (|t#1| $ |t#1|)) T)
                                                  ((|orbit|
                                                    ((|Set| |t#1|) $ |t#1|))
                                                   T)
                                                  ((< ((|Boolean|) $ $)) T))
                                                '(((|OrderedSet|)
                                                   (|has| |t#1|
                                                          (|OrderedSet|)))
                                                  ((|OrderedSet|)
                                                   (|has| |t#1| (|Finite|))))
                                                '((|Boolean|) (|Set| |t#1|)
                                                  (|List| (|List| |t#1|))
                                                  (|List| |t#1|))
                                                NIL))
                                       . #2=(|PermutationCategory|)))))
               . #2#)
       (SETELT #1# 0 (LIST '|PermutationCategory| (|devaluate| |t#1|))))))) 
